17160
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 64
- Divisor Sum
- 60480
- Proper Divisor Sum (Aliquot Sum)
- 43320
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 4290
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 5
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 79
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Degrees of irreducible representations of alternating group A_13.at n=52A003868
- Degrees of irreducible representations of symmetric group S_13.at n=96A003877
- Degrees of irreducible representations of symmetric group S_13.at n=95A003877
- a(n) = n*(n+1)*(n+8)/6.at n=44A006503
- Triangle read by rows, the inverse Bell transform of n!*binomial(4,n) (without column 0).at n=17A011801
- a(n) = 2*(n+1)*binomial(n+2,4).at n=9A027777
- a(n) = 5*(n+1)*binomial(n+2,10).at n=3A027783
- Numbers whose base-7 representation has exactly 6 runs.at n=2A043621
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n-1)/2.at n=23A047179
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n-2)/2.at n=23A047190
- a(n) = (n+9)!/9!.at n=4A049398
- Generalized Stirling number triangle of first kind.at n=10A051523
- Partial sums of A050405.at n=7A052206
- Products of 4 consecutive integers: a(n) = n*(n-1)*(n-2)*(n-3).at n=13A052762
- a(n) = n*(n-1)*(n-2)*(n-3) for n>=5.at n=13A052768
- Number of conjugacy classes in the group GL_2(K) when K is a finite field with q = p^m for a prime p and m >= 1.at n=44A060615
- Numbers k such that sigma (x) = k has exactly 12 solutions.at n=18A060676
- a(0)=1, a(n) = 8*n*(2*n-1).at n=33A067239
- Numbers m such that sigma(4*m+3) = 6*m.at n=6A067678
- Numbers k such that sigma(k^2-k-1) = k*(k+1).at n=25A069826